Vernier calliper was invented by a French Mathematician named Pierre Vernier in 1631. It is an instrument for making very accurate measurements.
Vernier calliper works on the principle that vernier scale uses the alignment of line segments that can be displaced by small amounts for the measurement.
It uses two scales viz: the main scale and the auxiliary scale. The main is similar to the ruler, while the vernier scale slides on the main scale that makes readings to the fraction of a division on the main scale.
Vernier Calliper Measurement
Vernier callipers are used in the two following areas:
Vernier callipers measure the diameter of small spherical objects, depth, and length very accurately, that’s why they are called Precision measuring instruments.
Parts of Vernier Calliper
A vernier calliper has the following parts:
Outside Jaws: To measure the external diameter of a small spherical object.
Inside Jaws: To measure the internal dimension of a small spherical object.
Measuring Depth Probe: For measuring the depth of objects.
Main Scale: In cm.
Main Scale: in inches.
Vernier Scales: In cm.
Vernier Scales: In inches.
Retainer: To block the movable part.
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The formula for the vernier calliper measurement is:
Measurement = MSR + (VSR * L.C.)
The least count of the vernier calliper is:
L.C. measurement = 1 MSD - 1VSD
Objective: To ascertain the diameter of a spherical body.
The smallest distance that can be measured along with the distance is the least count or L.C. L.C.is the difference between one main scale division and one vernier scale division.
The formula for the same is given below:
n (MSD) = (n - 1) VSD
MSD = Main scale division.
VSD = Vernier scale division.
Measure Diameter of a Small Spherical Using Vernier’s Callipers
Procedure to measure diameter of a small spherical cylindrical body using vernier’s callipers is as follows:
Check with the instrument, keep both the jaws closed and make sure that the zero of the main scale and the vernier scale coincide with each other.
Now, use a magnifying glass to check whether we were able to coincide the two zeroes and then check the number of divisions coinciding with each other.
Release the movable jaw by opening the screw. Put the cylindrical spherical body inside these jaws but not tightly. Make sure that these jaws lie perpendicular to the body. Slowly and gently tighten the screw to adjust the instrument in the position of the body.
Now, repeat the steps from 3 to 6, do the measurements along with the different positions of the curved surface of the sphere, and obtain at least three readings in each case.
What did you Observe?
We observed the following things:
Main scale 1 mm = 0.1 cm.
Number of vernier scale division (M) = 10.
If 10 vernier scale divisions are equal to 9 main scale divisions, then:
1 vernier scale division is equal to 0.9 main scale divisions.
Vernier constant = 1 MSD - 1 VSD = 1 - 0.9 = 0.1 main scale divisions
So, we get the vernier constant as 0.1 MSD = 0.1 mm = 0.01 cm.
So, observed reading - (± Zero reading) = True reading.
So, this was the procedure to measure the diameter of a small spherical. Now, record all the readings in the table given below:
The table form for noting the details of measuring the diameter of a small spherical is:
Zero error = ± ……cm.
Mean observed diameter in cm = ……
The formula for the corrected diameter is the difference between the mean observed diameter and the zero error.
Our final result is:
The diameter of the cylinder or the sphere in…...cm.